List

Creating and manipulating linear and quadratic expressions: Age 11-14

The Number Jumbler
problem

The Number Jumbler

Age
7 to 14
Challenge level
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The Number Jumbler can always work out your chosen symbol. Can you work out how?
Your number is...
problem

Your number is...

Age
7 to 14
Challenge level
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Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Special Numbers
problem

Special Numbers

Age
11 to 14
Challenge level
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My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
Number Pyramids
problem

Number Pyramids

Age
11 to 14
Challenge level
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Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Crossed Ends
problem

Crossed Ends

Age
11 to 14
Challenge level
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Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Perimeter Expressions
problem

Perimeter Expressions

Age
11 to 14
Challenge level
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Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
Quadratic Patterns
problem

Quadratic Patterns

Age
11 to 14
Challenge level
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Surprising numerical patterns can be explained using algebra and diagrams...
Reversals
problem

Reversals

Age
11 to 14
Challenge level
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Where should you start, if you want to finish back where you started?
Fibonacci Surprises
problem

Fibonacci Surprises

Age
11 to 14
Challenge level
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Play around with the Fibonacci sequence and discover some surprising results!
The Simple Life
problem

The Simple Life

Age
11 to 14
Challenge level
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The answer is $5x+8y$... What was the question?
Think of Two Numbers
problem

Think of Two Numbers

Age
11 to 14
Challenge level
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Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
More Number Pyramids
problem

More Number Pyramids

Age
11 to 14
Challenge level
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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Always a multiple?
problem

Always a multiple?

Age
11 to 14
Challenge level
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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...


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Creating and Manipulating Linear and Quadratic Expressions - Stage 3 STEM footer
 

You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.